Suppose that Agatha has $465 to spend on tickets for her trip.She intends to spend the entire amount $465 on tickets and prefers traveling first class to traveling second class.She needs to travel a total of 1,500 miles.Suppose that the price of first-class tickets is $.40 per mile and the price of second-class tickets is $.10 per mile.How many miles will she travel by second class?
A)450
B)600
C)225
D)550
E)150

Question

Quizplus · Accepted Answer

Agatha spends $465 on tickets. Let x be the miles traveled first class. Then, 0.40x + 0.10(1500 - x) = 465. Solving gives x = 1050 miles first class, so 1500 - 1050 = 450 miles second class.

Suppose That Agatha Has $465 to Spend on Tickets for Her